Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in G-metric spaces
Roldán López de Hierro, Antonio Francisco
De la Sen Parte, Manuel
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Fixed Point Theory and Applications 2014 : (2014) // Article ID 184
In this paper, we present some coincidence point theorems in the setting of quasi-metric spaces that can be applied to operators which not necessarily have the mixed monotone property. As a consequence, we particularize our results to the field of metric spaces, partially ordered metric spaces and G-metric spaces, obtaining some very recent results. Finally, we show how to use our main theorems to obtain coupled, tripled, quadrupled and multidimensional coincidence point results.